Publications related to Determinant

MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

Daniel Kressner, Robert Gerhard Jérôme Luce, Francesco Statti

We study the problem of computing the matrix exponential of a block triangular matrix in a peculiar way: Block column by block column, from left to right. The need for such an evaluation scheme arises naturally in the context of option pricing in polynomia ...

MATHICSE2017

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

Stefano Massei

We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and the right-hand side have low-rank off- diagonal blocks. This comprises probl ...

MATHICSE2017

LRSAM1-mediated ubiquitylation is disrupted in axonal Charcot-Marie-Tooth disease 2P

Vincenzo Sorrentino

Charcot-Marie-Tooth (CMT) disease type 2 is a genetically heterogeneous group of inherited neuropathies characterized by motor and sensory deficits as a result of peripheral axonal degeneration. We recently reported a frameshift (FS) mutation in the Really ...

Oxford Univ Press2017

MRI artifact correction using sparse plus low-rank decomposition of annihilating filter-based hankel matrix

Kyong Hwan Jin

PurposeMagnetic resonance imaging (MRI) artifacts are originated from various sources including instability of an magnetic resonance (MR) system, patient motion, inhomogeneities of gradient fields, and so on. Such MRI artifacts are usually considered as ir ...

Wiley2017

Projection Methods For Large-Scale T-Sylvester Equations

Daniel Kressner

The matrix Sylvester equation for congruence, or T-Sylvester equation, has recently attracted considerable attention as a consequence of its close relation to palindromic eigenvalue problems. The theory concerning T-Sylvester equations is rather well under ...

Amer Mathematical Soc2016

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

Idiap2015

Ad Hoc Microphone Array Calibration: Euclidean Distance Matrix Completion Algorithm and Theoretical Guarantees

Hervé Bourlard, Philip Neil Garner, Afsaneh Asaei, Mohammadjavad Taghizadeh, Reza Parhizkar

This paper addresses the problem of ad hoc microphone array calibration where only partial information about the distances between the microphones is available. We construct a matrix consisting of the pairwise distances and propose to estimate the missing ...

2015

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set with a large fraction of missing entries. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem restricte ...

MATHICSE2015

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MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

LRSAM1-mediated ubiquitylation is disrupted in axonal Charcot-Marie-Tooth disease 2P

MRI artifact correction using sparse plus low-rank decomposition of annihilating filter-based hankel matrix

Projection Methods For Large-Scale T-Sylvester Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Ad Hoc Microphone Array Calibration: Euclidean Distance Matrix Completion Algorithm and Theoretical Guarantees

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

MATHICSE Technical Report : Incremental computation of block triangular matrix exponentials with application to option pricing

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

MATHICSE Technical Report : Solving rank structured Sylvester and Lyapunov equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

MRI artifact correction using sparse plus low-rank decomposition of annihilating filter-based hankel matrix

LRSAM1-mediated ubiquitylation is disrupted in axonal Charcot-Marie-Tooth disease 2P

Projection Methods For Large-Scale T-Sylvester Equations

Ad Hoc Microphone Array Calibration: Euclidean Distance Matrix Completion Algorithm and Theoretical Guarantees